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The functional dependence of the relative unsaturated hydraulic conductivity (UHC) K r (ψ) ≡ exp(αψ) upon the matric potential ψ, [L], via the soil-dependent parameter α, [L −1 ], has been traditionally regarded as a deterministic process (i.e. α ∼ constant). However, in the practical applications one is concerned with flow domains of large extents where α undergoes to significant spatial variations as consequence of the disordered soil's structure. To account for such a variability (hereafterdoi:10.1016/j.procs.2016.09.064 fatcat:s7dvdbheo5ezpo7umm2dbtnzxi